Randomization-based models for multitiered experiments: I. A chain of randomizations
本文推导了具有随机化链的实验的随机化模型，给出了处理效应估计量、标准误和方差分析中期望均方的公式，并讨论了拟合这些模型的实用性和可能遇到的困难。
We derive randomization-based models for experiments with a chain of randomizations. Estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors and expected mean squares in the analysis of variance. We discuss the practicalities in fitting these models and outline the difficulties that can occur, many of which do not arise in two-tiered experiments.